I could be wrong on the spelling. but that sort of looks like an Altmanns helmet. It's hard to tell with the pictures you posted, do you have any others with some straight on views?
I don't know if the DP deluxe had physical damage added to it or not. While I do see some differences between the two, they're not so different that someone couldn't have modified it.
Well, I'm not THE Boba Fett expert (as others suggested), because there are things I don't know and probably will never know, but I try to document myself with whatever info is available and use it to solve the big picture: the mistery of Boba Fett.
I think that GrottyFurball is correct regarding the origin of the helmet. Takara is the name of a toy maker company from Japan, so it is possible that this company was the distributor of these helmets In Japan (and possibly other parts of Asia); more info here ==> Wikipedia - Takara.
Takara was a licenesed SW toy company back in the day with a little research I found a few things about them Rebelscum.com: JAPAN.REBELSCUM.COM Looks like a DP though maybe the same thing rebadged...
Just to answer Geeza's questions (sent through email): the paint job tries to replicate very poorly the ESB Hero helmet and I see this helmet somewhere in the mid range (not too good/not too bad).
I'm fairly certain that is a Don Post. Wether tagged by them or not. Though I never heard of them distributing for DP. There should be a brass plaque inside rear ontop of the lining that reads Don Post Studios with a Lucasfilm copyright, no matter who distributed it though.
The pic with the red background is a Don Post and matches up very well to yours. Keep in mind the paint work was fairly random as the higher numbers were produced.
The other is an Altmans. The differences in shape details is pretty apparent.